dude, you're going to lash out at another user for trying to help? In spite of your crappy, "entitled 4-year old" attitude, I'll take time out of my day to offer this up for the sake of community contribution.
I had the same battery drain issue, so I share the same frustration as all the users here. It did seem to coincide with the ICS update, which made the root cause difficult to track down. To complicate things, my experience was that without any significant use, the battery would perform/last to varying lengths of time, none acceptable. However, I noticed that the device never failed/rebooted while on the charger. Off the charger though, it was beginning to fail/reboot more reliably with use - specifically internet and sometimes phone. Same problem here - the device would appear to stall/struggle, then followed by vibrate/white HTC screen/reboot. It seems that under light use it was okay, but if the device were taxed, it would fail. I first replaced the battery with one from a damaged Thunderbolt we had laying around. The problem appeared to go away. I tested with this used battery successfully for several days, then ordered a replacement battery SEIDIO.
Insulatorsplus - if you have not yet tried a replacement battery, you cannot rule it out as being the problem. Granted, I understand that not everyone has spares lying around. Can't be sure, but I think it may fix your problem. The android.process.acore appears to be a separate issue. If do a little research, as I'm sure you have, you'll find suggestions on android specific forums to correct this problem, which is not limited to the HTC Thunderbolt, btw, so your conclusion about still getting the message while on charger most likely has nothing to do with the condition of your battery and the unexpected drain/reboot issue.
Whether I click wait or OK, the phone still shuts down. And as you can see from the screen shot, the battery is fully charged and on the charger when this happened!
